Pith Number

pith:D26EOGJ3

pith:2016:D26EOGJ3NQVIM5FUWIKP5M7QB2

not attested not anchored not stored refs pending

Ruled and quadric surfaces in the 3-dimensional Euclidean space satisfying $\Delta ^{III}\boldsymbol{x} = \varLambda \boldsymbol{x}$

Hassan Al-Zoubi, Stylianos Stamatakis

arxiv:1610.05102 v1 · 2016-10-14 · math.DG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{D26EOGJ3NQVIM5FUWIKP5M7QB2}

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Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T01:02:06.220353Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1ebc47193b6c2a8674b4b214feb3f00e980333748dfef62b515e983d7f7a06c1

Aliases

arxiv: 1610.05102 · arxiv_version: 1610.05102v1 · doi: 10.48550/arxiv.1610.05102 · pith_short_12: D26EOGJ3NQVI · pith_short_16: D26EOGJ3NQVIM5FU · pith_short_8: D26EOGJ3

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/D26EOGJ3NQVIM5FUWIKP5M7QB2 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 1ebc47193b6c2a8674b4b214feb3f00e980333748dfef62b515e983d7f7a06c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e17f56471f8204fcba97fa03b033c61dbbe88013a314537afc4aeaf26661937e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-10-14T05:00:54Z",
    "title_canon_sha256": "db7436179c326293456d83ce2b6d0f64d5c10c7b13d638be01b9e456ce0c9357"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.05102",
    "kind": "arxiv",
    "version": 1
  }
}